单选题
A. if Quantity A is greater;
B. if Quantity B is greater;
C. if the two quantifies are equal;
D. if it is mpossible to determine which quantity is greater.
Note: The given information, if any, is always centered above the two quantities. In any question, if a symbolor letter appears more than once, it represents the same thing each time.
单选题
【正确答案】
A
【答案解析】Quantity A is positive and Quantity B is negative. So, Quantity A is greater.
单选题
【正确答案】
C
【答案解析】Quantity A: Since (a9)(a9) = (a18), and since a > 0,[*]. Quantity B: (a2)(a3)(a4) = a2+3+4 = a9. The quantities are equal.
单选题
【正确答案】
B
【答案解析】Assume that the price of a small pizza is $10; then the price of a large pizza is $10 + 0.30($10) = $10 + $3 = $13.
On sale at 30% off, a large pizza costs 30% less than $13.
$13 - 0.30($13) = $13 - $3.90 = $9.10
So, Quantity B is $10 and Quantity A is $9.10.
单选题
【正确答案】
A
【答案解析】There is not enough information provided to determine the values of a, b, c, d, e, f, and g; but they are irrelevant. Since the sum of the measures of the seven angles is 360°, their average is 360° + 7 ≈ 51.4°. Quantity A is greater.
单选题
【正确答案】
A
【答案解析】If x represents Katie's age now, then in 9 years she will be x + 9, and so x + 9 = 4x. Therefore, 9 = 3x, and x = 3. So, Katie is now 3 and will be 8 times as old as she is now when she is 24, which will happen in 21 years. Quantity A is greater.
单选题
【正确答案】
B
【答案解析】[*]
Quantity A: If h is the height of equilateral triangle ABC, then by the Pythagorean theorem [*] So the area of triangle ABC is [*]
Quantity B:
[*]
The area of isosceles triangle PQR is[*]
单选题
【正确答案】
A
【答案解析】The simplest solution is to notice that if a 1 is chosen first, of the remaining three slips, two of them have -1 on them and one of them has 1 on it. So there are 2 chances in 3 that the second number will be -1 and the product will be -1. Similarly, if a -1 is chosen first, there are 2 chances in 3 that the second number will be 1 and, again, the product will be -1. [*]